Liverpool's hunt for a new manager could be over after it emerged that Roberto Martínez was set to announce his future plans on Tuesday.

Wigan will hold a press conference this week in which Martínez is expected to announce whether or not he will stay at the club.

The 38-year-old met Liverpool's owners in Miami on Thursday to discuss the managerial vacancy and was not put off by the huge challenge that would face any new manager.

However, it is understood Martínez has not made up his mind completely whether to accept that challenge and has given himself until Tuesday to do so.

The Wigan Athletic chairman, Dave Whelan, claimed on Friday the Spaniard had received an offer from Liverpool's principal owner John Henry after their meeting in Miami on Thursday.

Doubts emerged over Whelan's interpretation of the situation, with Liverpool refusing to comment amid the general belief no formal offer had been made.

Martínez's appointment would doubtless divide opinion among Liverpool supporters, some of whom may have been expecting a bigger name to be recruited to replace the sacked Kenny Dalglish.

But the captain Steven Gerrard, on England duty, has already pledged his full support to Martínez should he get the job.

"We'll have to wait and see," said the midfielder. "I'm aware Roberto Martínez has been talking to the club but all I've heard about him is positive. If he is going to be the manager, he's got my full support."

Throughout the process, Whelan has insisted it was not a foregone conclusion he would lose his manager to the club's north-west rivals, claiming there were still some issues – mainly surrounding working under a technical director – to be overcome before Martínez would even be in a position to accept.

"He went to Miami and had a very constructive meeting with the owner of Liverpool," the Wigan chairman told Sky Sports News.

"They're going to talk again on Tuesday. They've made Roberto an offer and he has agreed to consider it.

"He's said, 'What are my responsibilities?' These are American owners and the rules and regulations are a bit different from what we English set down.

"Roberto is a seven-days-a-week, 12-hours-a-day worker and I don't know whether they realise how hard he works.

"He has rules and regulations to be fully in charge of football and I know he won't move anywhere unless he is fully in charge of the football.

"I think he'll give it fair consideration. Hopefully, he stays with us but, wherever he goes, he's 100% dedicated to that football club."